Atkin-Lehner |
2- 3+ 5+ 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
93450bv |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
522240 |
Modular degree for the optimal curve |
Δ |
-1071759360000000 = -1 · 220 · 3 · 57 · 72 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,25537,127781] |
[a1,a2,a3,a4,a6] |
Generators |
[95:1802:1] |
Generators of the group modulo torsion |
j |
117872434296791/68592599040 |
j-invariant |
L |
7.49798137352 |
L(r)(E,1)/r! |
Ω |
0.29610262778625 |
Real period |
R |
2.5322238497289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017395 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18690g1 |
Quadratic twists by: 5 |